Some linear waves in non-uniform magneto-dusty plasma
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Date
2022
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UMT, Lahore
Abstract
Over the last two decades, several theoretical as well as the experimental observations can be seen in the literature on the physics of dusty plasma. Rao and Shukla, were the first to predict Dust-Acoustic (DA) mode. Later, these authors also predicted Dust-Ion-Acoustic (DIA) mode in dust contaminated plasma. The effect of self-gravitation in a non-uniform magnetized plasma has not yet been studied. In this thesis, we have developed and presented a theoretical model for non uniform, magnetized dusty plasma, whose constituents are electrons, ions and negatively charged static dust particles. Our model equations are the continuity and equation motion and the Poisson’s equation. After linearizing these equation and using sinusoidal wave approximation, we obtain the linear dispersion. In this thesis, we first review and derive dispersion relations for the DA and DIA waves. Then, for in-homogeneous magnetized dusty plasma case, we review the Shukla-Varma mode. But, since it is known that in the presence of heavy dust particles carrying charge, the self-gravitational force cannot be neglected. Therefore, we extend the Shukla-Varma mode calculations by incorporating self gravitational effects. We derived new third order dispersion relation. By using ionospheric parameters, the dispersion relation was analyzed and the growth rate was numerically estimated. It is shown that self-gravity destabilizes the Shaula Varma mode and it introduces Jeans frequency term. These results has applications is space plasmas where the dust particles can be observed.